Introduction
Hamilton-Jacobi structure and holography= holomorphy vision
Basic questions
Hypercomplex arithmetics
About the definition of H-J structure
Hypercomplex counterpart of conformal invariance, 4-D conformal structure and H-J structure
About the solutions of Dirac equation in H assuming M4 Kähler structure
Dirac equation in H in the presence of M4 Kähler potential
Holomorphic solutions of Dirac equation for the induced spinors in X4
Possible generalizations of elliptic curves and corresponding lattices to 4-D situation
Hypercomplex and 4-D analogs of lattices associated with elliptic surfaces
4-D lattices formed by space-time surfaces
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